LGJul 11, 2025

On the Effect of Regularization in Policy Mirror Descent

arXiv:2507.08718v1h-index: 28
Originality Synthesis-oriented
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This work addresses hyperparameter sensitivity in RL algorithms, offering incremental insights for developing more robust methods.

The paper investigates the interplay between two regularization components in Policy Mirror Descent for reinforcement learning, finding through over 500k training seeds that their precise combination is critical for robust performance.

Policy Mirror Descent (PMD) has emerged as a unifying framework in reinforcement learning (RL) by linking policy gradient methods with a first-order optimization method known as mirror descent. At its core, PMD incorporates two key regularization components: (i) a distance term that enforces a trust region for stable policy updates and (ii) an MDP regularizer that augments the reward function to promote structure and robustness. While PMD has been extensively studied in theory, empirical investigations remain scarce. This work provides a large-scale empirical analysis of the interplay between these two regularization techniques, running over 500k training seeds on small RL environments. Our results demonstrate that, although the two regularizers can partially substitute each other, their precise combination is critical for achieving robust performance. These findings highlight the potential for advancing research on more robust algorithms in RL, particularly with respect to hyperparameter sensitivity.

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